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Algorithmic Developments of Information Granules of Higher Type and Higher Order and Their Applications

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Fuzzy Logic and Soft Computing Applications (WILF 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10147))

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Abstract

Information granules are conceptual entities using which experimental data are conveniently described and in the sequel their processing is realized at the higher level of abstraction. The central problem is concerned with the design of information granules. We advocate that a principle of justifiable granularity can be used as a sound vehicle to construct information granules so that they are (i) experimentally justifiable and (ii) semantically sound. We elaborate on the algorithmic details when forming information granules of type-1 and type-2. It is also stressed that the construction of information granule realized in this way follows a general paradigm of elevation of type of information granule, say numeric data (regarded as information granules of type-0) give rise to information granule of type-1 while experimental evidence coming as information granules of type-1 leads to the emergence of a single information granule of type-2. We discuss their direct applications to the area of system modeling, in particular showing how type-n information granules are used in the augmentation of numeric models.

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Acknowledgements

Support from the Canada Research Chair (CRC) and Natural Sciences and Engineering Research Council (NSERC) is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, T6R 2V4, Canada

    Witold Pedrycz

  2. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Witold Pedrycz

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Witold Pedrycz

Authors
  1. Witold Pedrycz
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Correspondence to Witold Pedrycz .

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Editors and Affiliations

  1. University of Naples “Parthenope”, Naples, Italy

    Alfredo Petrosino

  2. University of Salerno, Fisciano, (Salerno), Italy

    Vincenzo Loia

  3. University of Alberta, Edmonton, Alberta, Canada

    Witold Pedrycz

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Pedrycz, W. (2017). Algorithmic Developments of Information Granules of Higher Type and Higher Order and Their Applications. In: Petrosino, A., Loia, V., Pedrycz, W. (eds) Fuzzy Logic and Soft Computing Applications. WILF 2016. Lecture Notes in Computer Science(), vol 10147. Springer, Cham. https://doi.org/10.1007/978-3-319-52962-2_2

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  • DOI: https://doi.org/10.1007/978-3-319-52962-2_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-52961-5

  • Online ISBN: 978-3-319-52962-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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